Answer:
2.5
Explanation:
The given costs for the purchase and delivery of the cupcakes are;
The cost of 10 cupcakes and the delivery fee = $30
The cost of 25 cupcakes and the delivery fee = $67.50
Let 'c' represent the fixed cost of delivery of the cup cakes, and let 'x' represent the cost of each cup cake, we have;
30 = 10·x + c...(1)
67.50 = 25·x + c...(2)
Subtracting equation (1) from equation (2) gives;
67.50 - 30 = 37.50 = 25·x - 10·x + c - c = 15·x
∴ x = 37.50/15 = 2.5
The cost of each cupcake, x = 2.5
(∴ The delivery fee = 30 - 10 × 2.5 = 5)
The cost of each cupcake is 2.5.
Answer:
The atom economy of ethane in this process is 19.72 %.
What is atom economy?
The conversion efficiency of a chemical reaction in terms of all the atoms involved and the desired products produced is known as atom economy (atom efficiency/percentage).
Explanation:
C₁₀H₂₂ → C₈H₁₈ + C₂H₄
Molecular weight of C₁₀H₂₂ = 142.28
Molecular weight of C₈H₁₈ = 114.228
Molecular weight of C₂H₄ = 28.053
% Atom economy = 
= 
= 19.716 %
≈ 19.72 %
To know more about atom economy, click on the link
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Answer: option B) They provide an alternate lower energy mechanism by which the reaction proceeds
Explanation:
Catalyst are involved in chemical reaction increasing the rate they occur by lowering the activation energy found in the bound- reactants complex.
The reaction moves forward because the lower energy mechanism when catalyst are added allows for a more easily splitted bond, thus, allowing the formation of products.
The correct answer would be: Atoms
I hope that this helps you!
